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Finding the Fourth Proportional to 1,814.80, 2,721.25 and 840.07

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Solution

The fourth proportional to 1,814.80, 2,721.25 and 840.07 is: 1,259.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.80 : 2,721.25 = 840.07 : x
  2. Step 2: Convert to fraction form
    1,814.80/2,721.25 = 840.07/x
  3. Step 3: Cross multiply
    1,814.80x = 2,721.25 × 840.07
  4. Step 4: Simplify right side
    1,814.80x = 2,286,040.49
  5. Step 5: Solve for x
    x = 2,286,040.49/1,814.80
  6. Step 6: Final answer
    x = 1,259.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.